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Prove that (sintheta-costheta+1)/(sinthe...

Prove that `(sintheta-costheta+1)/(sintheta+costheta-1)=1/(sectheta-tantheta)`, using the identity `sec^2theta=1+tan^2theta`

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To prove the identity \[ \frac{\sin \theta - \cos \theta + 1}{\sin \theta + \cos \theta - 1} = \frac{1}{\sec \theta - \tan \theta} \] using the identity \( \sec^2 \theta = 1 + \tan^2 \theta \), we will follow these steps: ...
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